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Finding the Fourth Proportional to 18,285.56, 25,233.96 and 9,902

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Solution

The fourth proportional to 18,285.56, 25,233.96 and 9,902 is: 13,664.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,285.56 : 25,233.96 = 9,902 : x
  2. Step 2: Convert to fraction form
    18,285.56/25,233.96 = 9,902/x
  3. Step 3: Cross multiply
    18,285.56x = 25,233.96 × 9,902
  4. Step 4: Simplify right side
    18,285.56x = 249,866,671.92
  5. Step 5: Solve for x
    x = 249,866,671.92/18,285.56
  6. Step 6: Final answer
    x = 13,664.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.